Respuesta :
Answer:
There were 118 monthly members before the incentive
Step-by-step explanation:
Let the total number of incentive
Monthly membership after incentive = a
Yearly membership after incentive = b
a/b = 5/8
We are told in the question that: 59 monthly members after the incentive,
5/8 = 59/b
Cross Multiply
5b = 59 × 8
b = 59 × 8/5
b = 472/5
b = 94.4
Therefore, number of yearly members = 94.4
Total number of Membership after incentive
= 94.4 + 59
= 153.4
Note that total number of members before incentive = total number of members after incentive
From the question, At the beginning of the year the ratio of monthly to yearly was 10:3.
Monthly membership after incentive = a
Yearly membership after incentive = b
a/b = 10/3
10b = 3a
b = 3a/10
a + b = 153.4
a + 3a/10 = 153.4
10 × a + 3a × 1/ 10 = 153.4
10a + 3a = 10 × 153.4
13a = 1534
Divide both sides by 13
a = 1534/13
a = 118
Therefore, the number of members before monthly incentive = 118
